Results 21 to 30 of about 67,818,891 (245)
One kind hybrid character sums and their upper bound estimates [PDF]
Journal of Inequalities and Applications, 2018 The main purpose of this paper is applying the analysis method, the properties of Lucas polynomials and Gauss sums to study the estimation problems of some kind hybrid character sums. In the end, we obtain several sharp upper bound estimates for them. As some applications, we prove some new and interesting combinatorial identities.
Jianhong Zhao, Xiao Wang
openaire +3 more sources
ON SOME MULTIPLE CHARACTER SUMS
, 2017 We improve a recent result of B. Hanson [Estimates for character sums with various convolutions. Preprint, 2015, arXiv:1509.04354] on multiplicative character sums with expressions of the type and variables from four distinct sets of a finite field.
Shkredov, ID +1 more
core +1 more source
Estimates for Nonsingular Mixed Character Sums [PDF]
International Mathematics Research Notices, 2010 a nontrivial multiplicative character of k. We extend χ to k by defining χ(0) = 0. We wish to consider character sums over An, n ≥ 1, of the following form. We are given a polynomial f (x) := f (x1, . . . , xn) in k[x1, . . . ,Xn] of degree d ≥ 1, and we are given a second polynomial g(X) := g(x1, . . . , xn) in k[x1, . . . , xn] of degree e ≥ 1.
openaire +1 more source
Upper bound estimate of character sums over Lehmer’s numbers [PDF]
Journal of Inequalities and Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Han, Di, Zhang, Wenpeng
openaire +2 more sources
On character sums over flat numbers [PDF]
, 2010 Let q⩾2 be an integer, χ be any non-principal character mod q, and H=H(q)⩽q. In this paper the authors prove some estimates for character sums of the formW(χ,H;q)=∑n∈F(H)χ(n), whereF(H)={n∈Z|(n,q)=1,1⩽n,n¯⩽q,|n−n¯|⩽H}, n¯ is defined by nn¯≡1(modq)
Xi, Ping, Yi, Yuan
core +1 more source
Solid Pseudopapillary Neoplasm of the Pancreas in Children and Adolescents: Expert Recommendations
Pediatric Blood &Cancer, EarlyView.ABSTRACT Solid pseudopapillary neoplasm of the pancreas (SPN) is a rare low‐grade malignant exocrine pancreatic tumor, mostly discovered during the second decade of life in females, with a very good prognosis, provided microscopically complete surgical excision is achieved.
Sabine Irtan +18 more
wiley +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT As part of the European Cooperative Study Group for Paediatric Rare Tumours initiative, we developed standard clinical practice guidelines for ovarian sex cord stromal tumors, based on comprehensive national and international cohort analyses, literature review, and a final expert consensus conference.
Dominik T. Schneider +15 more
wiley +1 more source
, 2002 There is a body of work in the literature on various restricted sums of the number of divisors of an integer function including that described in [2-9, 11] and summarised in Section 2 ...
Broughan, Kevin A.
core +1 more source
Acute Neurological Events in Children With Hemoglobin SC Disease: A Multicenter Retrospective Study
Pediatric Blood &Cancer, EarlyView.ABSTRACT Introduction Neurological manifestations in children with hemoglobin SC (HbSC) disease remain insufficiently characterized, particularly regarding acute events. The aim of this study was to describe the spectrum and frequency of acute neurological events in a multicenter cohort of children with HbSC disease.
Célia Paulmin +11 more
wiley +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Embryonal tumors comprise the majority of malignant central nervous system (CNS) neoplasms diagnosed in children under 3 years of age. Compared with their counterparts in older children, these tumors exhibit distinct molecular biology and a more aggressive clinical phenotype, while their management is complicated by the heightened ...
Sudarshawn Damodharan +3 more
wiley +1 more source